Barrow, Isaac, Lectiones opticae & geometricae : in quibus phaenomenon opticorum genuinae rationes investigantur, ac exponuntur: et generalia curvarum linearum symptomata declarantur

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          <pb file="0018" n="18"/>
          <figure number="1">
            <image file="0018-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/U19ERSE3/figures/0018-01"/>
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          <p>
            <s xml:id="echoid-s97" xml:space="preserve">Brevitatis gratiâ notæ quædam adhibentur, quarum hîc
              <lb/>
            ſubjungitur interpretatio.</s>
            <s xml:id="echoid-s98" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s99" xml:space="preserve">A + B. </s>
            <s xml:id="echoid-s100" xml:space="preserve">_hoc eſt_ A & </s>
            <s xml:id="echoid-s101" xml:space="preserve">B _ſimul acceptæ_.</s>
            <s xml:id="echoid-s102" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s103" xml:space="preserve">A - B. </s>
            <s xml:id="echoid-s104" xml:space="preserve">A, _demptâ_ B.</s>
            <s xml:id="echoid-s105" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s106" xml:space="preserve">A - : </s>
            <s xml:id="echoid-s107" xml:space="preserve">B. </s>
            <s xml:id="echoid-s108" xml:space="preserve">_differentia ipſarun@_ A, & </s>
            <s xml:id="echoid-s109" xml:space="preserve">B.</s>
            <s xml:id="echoid-s110" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s111" xml:space="preserve">A x B. </s>
            <s xml:id="echoid-s112" xml:space="preserve">A _multiplicata, vel ducta in_ B.</s>
            <s xml:id="echoid-s113" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s114" xml:space="preserve">{A/B} - A _diviſa per_ B, _vel applicata ad_ B.</s>
            <s xml:id="echoid-s115" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s116" xml:space="preserve">A = B. </s>
            <s xml:id="echoid-s117" xml:space="preserve">A _æquatur ipſi_ B.</s>
            <s xml:id="echoid-s118" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s119" xml:space="preserve">A &</s>
            <s xml:id="echoid-s120" xml:space="preserve">gt; </s>
            <s xml:id="echoid-s121" xml:space="preserve">B. </s>
            <s xml:id="echoid-s122" xml:space="preserve">A _major eſt quàm_ B.</s>
            <s xml:id="echoid-s123" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s124" xml:space="preserve">A &</s>
            <s xml:id="echoid-s125" xml:space="preserve">lt; </s>
            <s xml:id="echoid-s126" xml:space="preserve">B A _minor eſt quàm_ B.</s>
            <s xml:id="echoid-s127" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s128" xml:space="preserve">A. </s>
            <s xml:id="echoid-s129" xml:space="preserve">B:</s>
            <s xml:id="echoid-s130" xml:space="preserve">: C. </s>
            <s xml:id="echoid-s131" xml:space="preserve">D A _ad_ B _eandem rationem habet, quam_ C _ad_ D.</s>
            <s xml:id="echoid-s132" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s133" xml:space="preserve">A, B, C, D {.</s>
            <s xml:id="echoid-s134" xml:space="preserve">./.</s>
            <s xml:id="echoid-s135" xml:space="preserve">.}. </s>
            <s xml:id="echoid-s136" xml:space="preserve">A, B, C, D _ſunt continuè proportionales_.</s>
            <s xml:id="echoid-s137" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s138" xml:space="preserve">A. </s>
            <s xml:id="echoid-s139" xml:space="preserve">B &</s>
            <s xml:id="echoid-s140" xml:space="preserve">gt; </s>
            <s xml:id="echoid-s141" xml:space="preserve">C. </s>
            <s xml:id="echoid-s142" xml:space="preserve">D. </s>
            <s xml:id="echoid-s143" xml:space="preserve">A _ad_ B _majorem rationem habet, quàm_ C _ad_ D.</s>
            <s xml:id="echoid-s144" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s145" xml:space="preserve">A. </s>
            <s xml:id="echoid-s146" xml:space="preserve">B &</s>
            <s xml:id="echoid-s147" xml:space="preserve">lt; </s>
            <s xml:id="echoid-s148" xml:space="preserve">C. </s>
            <s xml:id="echoid-s149" xml:space="preserve">D. </s>
            <s xml:id="echoid-s150" xml:space="preserve">A _ad_ B _minorcm rationem habet, quàm_ C _ad_ D.</s>
            <s xml:id="echoid-s151" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s152" xml:space="preserve">A. </s>
            <s xml:id="echoid-s153" xml:space="preserve">B + C. </s>
            <s xml:id="echoid-s154" xml:space="preserve">D = \\ &</s>
            <s xml:id="echoid-s155" xml:space="preserve">gt; </s>
            <s xml:id="echoid-s156" xml:space="preserve">\\ &</s>
            <s xml:id="echoid-s157" xml:space="preserve">lt;</s>
            <s xml:id="echoid-s158" xml:space="preserve">} M.</s>
            <s xml:id="echoid-s159" xml:space="preserve">N. </s>
            <s xml:id="echoid-s160" xml:space="preserve">_Rationes_ A ad B, \\ & </s>
            <s xml:id="echoid-s161" xml:space="preserve">C ad D _compoſitæ_ {_adæquant_ \\ _excedunt_ \\ _deficiunt à_} _ratione_ M \ȧd N.</s>
            <s xml:id="echoid-s162" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s163" xml:space="preserve">Aq. </s>
            <s xml:id="echoid-s164" xml:space="preserve">_Quadratum ex_ A.</s>
            <s xml:id="echoid-s165" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s166" xml:space="preserve">√ A. </s>
            <s xml:id="echoid-s167" xml:space="preserve">_Latus, vel radix quadrata ipſius_ A.</s>
            <s xml:id="echoid-s168" xml:space="preserve"/>
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          <p>
            <s xml:id="echoid-s169" xml:space="preserve">A c. </s>
            <s xml:id="echoid-s170" xml:space="preserve">_Cubus e x _ A.</s>
            <s xml:id="echoid-s171" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s172" xml:space="preserve">√ Aq + Bq. </s>
            <s xml:id="echoid-s173" xml:space="preserve">_Latus compoſiti ex_ Aq & </s>
            <s xml:id="echoid-s174" xml:space="preserve">Bq.</s>
            <s xml:id="echoid-s175" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s176" xml:space="preserve">Reliquas, ſi quæ occurrunt, abbreviaturas Lector facili conjectur &</s>
            <s xml:id="echoid-s177" xml:space="preserve">
              <unsure/>
              <lb/>
            capiet, præſerti@ in analyſi tantillùm verſatus.</s>
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